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Finding the Fourth Proportional to 54,565.80, 81,848.70 and 31,194.60

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Solution

The fourth proportional to 54,565.80, 81,848.70 and 31,194.60 is: 46,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,565.80 : 81,848.70 = 31,194.60 : x
  2. Step 2: Convert to fraction form
    54,565.80/81,848.70 = 31,194.60/x
  3. Step 3: Cross multiply
    54,565.80x = 81,848.70 × 31,194.60
  4. Step 4: Simplify right side
    54,565.80x = 2,553,237,457.02
  5. Step 5: Solve for x
    x = 2,553,237,457.02/54,565.80
  6. Step 6: Final answer
    x = 46,791.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.